All $n$-uniform quasitranslation Hjelmslev planes are strongly $n$-uniform
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- by David A. Drake PDF
- Proc. Amer. Math. Soc. 51 (1975), 494-498 Request permission
Abstract:
An affine $H$-plane $\mathcal {A}$ is called a quasitranslation $H$-plane if it possesses a group of quasitranslations which is regular on the points of $\mathcal {A}$. Let $n$ be any positive integer. Then every $n$-uniform quasitranslation $H$-plane is strongly $n$-uniform.References
- Benno Artmann, Desarguessche Hjelmslev-Ebenen $n$-ter Stufe, Mitt. Math. Sem. Giessen Heft 91 (1971), 1β19 (German). MR 295202
- David A. Drake, On $n$-uniform Hjelmslev planes, J. Combinatorial Theory 9 (1970), 267β288. MR 268770, DOI 10.1016/S0021-9800(70)80066-7
- David A. Drake, The structure of $n$-uniform translation Hjelmslev planes, Trans. Amer. Math. Soc. 175 (1973), 249β282. MR 310755, DOI 10.1090/S0002-9947-1973-0310755-0
- Heinz LΓΌneburg, Affine Hjelmslev-Ebenen mit transitiver Translationsgruppe, Math. Z. 79 (1962), 260β288 (German). MR 138031, DOI 10.1007/BF01193123
Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 51 (1975), 494-498
- MSC: Primary 50D35
- DOI: https://doi.org/10.1090/S0002-9939-1975-0377685-7
- MathSciNet review: 0377685